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10349701905 = 35857805111
BaseRepresentation
bin10011010001110001…
…11110101100010001
3222201021210022221210
421220320332230101
5132144010430110
64430554010333
7514322005014
oct115070765421
928637708853
1010349701905
114431156254
12200a1169a9
13c8c29aa8a
1470279337b
15408938520
hex268e3eb11

10349701905 has 16 divisors (see below), whose sum is σ = 16578866304. Its totient is φ = 5513393280.

The previous prime is 10349701903. The next prime is 10349701913. The reversal of 10349701905 is 50910794301.

It is a happy number.

10349701905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10349701905 - 21 = 10349701903 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10349701903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389701 + ... + 415410.

It is an arithmetic number, because the mean of its divisors is an integer number (1036179144).

Almost surely, 210349701905 is an apocalyptic number.

10349701905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10349701905 is a deficient number, since it is larger than the sum of its proper divisors (6229164399).

10349701905 is an equidigital number, since it uses as much as digits as its factorization.

10349701905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805976.

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 10349701905 in words is "ten billion, three hundred forty-nine million, seven hundred one thousand, nine hundred five".

Divisors: 1 3 5 15 857 2571 4285 12855 805111 2415333 4025555 12076665 689980127 2069940381 3449900635 10349701905